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Simplifying (c + 2)(2c + -1) = 0 Reorder the terms: (2 + c)(2c + -1) = 0 Reorder the terms: (2 + c)(-1 + 2c) = 0 Multiply (2 + c) * (-1 + 2c) (2(-1 + 2c) + c(-1 + 2c)) = 0 ((-1 * 2 + 2c * 2) + c(-1 + 2c)) = 0 ((-2 + 4c) + c(-1 + 2c)) = 0 (-2 + 4c + (-1 * c + 2c * c)) = 0 (-2 + 4c + (-1c + 2c2)) = 0 Combine like terms: 4c + -1c = 3c (-2 + 3c + 2c2) = 0 Solving -2 + 3c + 2c2 = 0 Solving for variable 'c'. Factor a trinomial. (-2 + -1c)(1 + -2c) = 0Subproblem 1
Set the factor '(-2 + -1c)' equal to zero and attempt to solve: Simplifying -2 + -1c = 0 Solving -2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 0 + 2 -1c = 0 + 2 Combine like terms: 0 + 2 = 2 -1c = 2 Divide each side by '-1'. c = -2 Simplifying c = -2Subproblem 2
Set the factor '(1 + -2c)' equal to zero and attempt to solve: Simplifying 1 + -2c = 0 Solving 1 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 0 + -1 -2c = 0 + -1 Combine like terms: 0 + -1 = -1 -2c = -1 Divide each side by '-2'. c = 0.5 Simplifying c = 0.5Solution
c = {-2, 0.5}
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